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Chapter 2: Q52P-a (page 45)
In the circuit shown in Figure 19.75, the emf of the battery is . Resistor has a resistance of , and resistor has a resistance of . A steady current flows through the circuit. (a) What is the absolute value of the potential difference across ? (b) What is the conventional current through ?
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A playground ride consists of a disk of mass and radius mounted on a low-friction axle (Figure 11.94). A child of mass runs at speed on a line tangential to the disk and jumps onto the outer edge of the disk.
(a.) If the disk was initially at rest, now how fast is it rotating? (b) What is the change in the kinetic energy of the child plus the disk? (c) where has most of this kinetic energy gone? (d) Calculate the change in linear momentum of the system consisting of the child plus the disk (but not including the axle), from just before to just after impact. What caused this change in the linear momentum? (e) The child on the disk walks inward on the disk and ends up standing at a new location a distance from the axle. Now what is the angular speed? (f) What is the change in the kinetic energy of the child plus the disk, from the beginning to the end of the walk on the disk? (g) What was the source of this increased kinetic energy?
A spherical satellite of approximately uniform density with radius\(4.8m\)and mass\(205kg\)is originally moving with velocity\(\left\langle {2600,0,0} \right\rangle m/s,\)and is originally rotating with an angular speed\(2rad/s,\)in the direction shown in the diagram. A small piece of space junk of mass\(4.1kg\)is initially moving toward the satellite with velocity\(\left\langle { - 2200,0,0} \right\rangle m/s.\)The space junk hits the edge of the satellite at location C as shown in Figure 11.97, and moves off with a new velocity\(\left\langle { - 1300,480,0} \right\rangle m/s.\)Both before and after the collision, the rotation of the space junk is negligible.
If the magnitude of the electric field in air exceeds roughly , the air break down and a spark forms. For a two-disk capacitor of radius 51 cm with a gap of 2 mm, if the electric field inside is just high enough that a spark occurs, what is the strength of the fringe field just outside the center of the capacitor?
Two very thin circular plastic sheets are close to each other and carry equal and opposite uniform charge. Explain briefly why the field between the sheets is much larger than the field outside. Illustrate your argument on a diagram.
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